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Properties of the Number 20007

Twenty Thousand Seven

Basics

Value: 20006 → 20007 → 20008

Parity: odd

Prime: No

Previous Prime: 19997

Next Prime: 20011

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 4 × 13 × 19

Divisors: 1, 3, 9, 13, 19, 27, 39, 57, 81, 117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100111000100111

Octal: 47047

Duodecimal: B6B3

Hexadecimal: 4e27

Square: 400280049

Square Root: 141.4461028095154

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of partitions p of n such that (number of even numbers in p) = (number of odd numbers in p). A241638
List the positions of all digits '1' in the sequence. This is the lexicographically earliest increasing sequence with this property. A98645
Numbers k such that binomial(2k,k) is not divisible by 3, 5 or 7. A30979
Number of partitions of n having no parts with multiplicity 7. A184642
Multiples of 9 in which there is no common digit in successive terms. A83497
Expansion of f(-x, -x5) * f(-x6) / f(-x)2 in powers of·where f(, ) and f() are Ramanujan θ functions. A132302
G.f. satisfies: A(x/A(x)2) = 1 + x·A(x). A145350
Numbers that are the sum of four third powers in six or more ways. A345148
Numbers that are the sum of four third powers in exactly six ways. A345149
Numbers k such that 3 and 5 do not divide binomial(2·k, k). A129508